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arXiv · 2007.08399

Remarks on the modulus of continuity of subharmonic functions

Ahmed Zeriahi
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Abstract

We introduce different classical characteristics used to regularize a subharmonic function and compare them. As an application we give a complete proof of a useful characterization of the modulus of continuity of such functions in terms of these characteristics under a technical condition. This result is extended to quasi-plurisubharmonic functions on a compact Hermitian manifold.

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Ahmed Zeriahi. 2020-07-16. Remarks on the modulus of continuity of subharmonic functions. https://arxiv.org/abs/2007.08399

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